Report of the fit

Fit summary

Description:
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Cut on the error function: 4
Parameterisation: PV19b
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl((1-\lambda) \left(\frac{1}{1 + g_1(x) b_T^2/4}+N_1\right) + \lambda \exp \left(-g_{1B}(x) b_T^2 /4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \exp\left[\sigma\left(\frac{x}{\alpha}-1\right)\right]g_{1B}(x) = N_{1B} exp\left(-\frac{(x-\alpha_B)^2}{2\sigma_B^2}\right)Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2 N_1 \alpha \sigma \lambda N_{1B} \alpha_B \sigma_B g_{2B}
0.01637759456338 -0.0360402603115 0.07553836092907 0.8738129447193 0.7692672717837 1.94666352759 0.0900170221136 0.03129685357799 0.02024085243599

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
Perturbative order: N3LL
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 247
\chi_{0}^2 = 1.0063
\chi_{mean}^2 = 0.9652
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.0351 \pm 0.0147
\langle E \rangle \pm \sigma_{E} = 2.0165 \pm 0.1828

Parameters

Parameter Central replica Average over replicas Fixed
g_2 0.016338215 0.01435339 \pm 0.01831858 False
N_1 -0.035978765 -0.03546671 \pm 0.00905085 False
\alpha 0.07543727 0.08182229 \pm 0.03354069 False
\sigma 0.87529147 1.04234075 \pm 1.39177636 False
\lambda 0.76896721 0.75375768 \pm 0.05763132 False
N_{1B} 1.9418189 2.54917603 \pm 2.16351415 False
\alpha_B 0.089887804 0.0904224 \pm 0.01219622 False
\sigma_B 0.031276945 0.02926968 \pm 0.00791431 False
g_{2B} 0.020236509 0.02029374 \pm 0.00427375 False
Fitted parameter correlation matrix

Fit properties

Global \chi^2 distribution
Global error function distribution
g_2 distribution
N_1 distribution
\alpha distribution
\sigma distribution
\lambda distribution
N_{1B} distribution
\alpha_B distribution
\sigma_B distribution
g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:

Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.4853 0.0883 0.5736
E605_Q_8_9 8 1.3747 0.1273 1.5021
E605_Q_10.5_11.5 10 0.7325 0.1384 0.8709
E288_200_Q_4_5 4 1.0 0.8924 1.8924
E288_200_Q_5_6 5 1.9025 0.2888 2.1914
E288_200_Q_6_7 6 0.5848 0.3202 0.905
E288_200_Q_7_8 7 0.7495 0.1079 0.8573
E288_200_Q_8_9 8 0.6361 0.0041 0.6402
E288_300_Q_4_5 4 0.8049 0.1324 0.9373
E288_300_Q_5_6 5 1.0192 0.0001 1.0193
E288_300_Q_6_7 6 0.6042 0.0016 0.6058
E288_300_Q_7_8 7 0.1585 0.0383 0.1968
E288_300_Q_8_9 8 0.458 0.0958 0.5538
E288_400_Q_5_6 5 0.4662 0.1582 0.6245
E288_400_Q_6_7 6 0.142 0.1153 0.2574
E288_400_Q_7_8 7 0.0321 0.0772 0.1093
E288_400_Q_8_9 8 0.5578 0.0334 0.5912
E288_400_Q_11_12 11 0.4999 0.0193 0.5192
E288_400_Q_12_13 12 0.5266 0.0284 0.555
E288_400_Q_13_14 12 0.6506 0.0018 0.6524
STAR_510 7 1.2134 0.0468 1.2602
CDF_RunI 25 0.5276 0.1116 0.6391
CDF_RunII 26 0.7391 0.003 0.7421
D0_RunI 12 0.5511 0.0092 0.5603
D0_RunII 5 0.9851 0.2114 1.1965
D0_RunIImu 3 4.0858 0.2928 4.3787
LHCb_7TeV 7 1.1834 0.3566 1.54
LHCb_8TeV 7 0.5522 0.4058 0.958
LHCb_13TeV 7 0.929 0.0746 1.0036
CMS_7TeV 4 2.8807 0 2.8807
CMS_8TeV 4 1.1747 0.0019 1.1766
ATLAS_7TeV_y_0_1 6 3.0305 0.4277 3.4582
ATLAS_7TeV_y_1_2 6 1.9388 0.18 2.1188
ATLAS_7TeV_y_2_2.4 6 1.8176 0.1651 1.9828
ATLAS_8TeV_y_0_0.4 6 1.6387 0.0854 1.7241
ATLAS_8TeV_y_0.4_0.8 6 1.6993 0.0659 1.7653
ATLAS_8TeV_y_0.8_1.2 6 0.6021 0.0035 0.6056
ATLAS_8TeV_y_1.2_1.6 6 0.7523 0.0326 0.7849
ATLAS_8TeV_y_1.6_2 6 1.5223 0.0702 1.5926
ATLAS_8TeV_y_2_2.4 6 0.7822 0.0694 0.8516
ATLAS_8TeV_Q_46_66 4 1.206 0.328 1.5341
ATLAS_8TeV_Q_116_150 8 0.7464 0.0563 0.8027
Total 319 - - 1.0063

Mean-replica \chi^2’s:

Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.5807 0.0473 0.628
E605_Q_8_9 8 1.6079 0.1303 1.7382
E605_Q_10.5_11.5 10 0.5775 0.081 0.6585
E288_200_Q_4_5 4 0.4434 0.5186 0.962
E288_200_Q_5_6 5 1.1685 0.1839 1.3525
E288_200_Q_6_7 6 0.3329 0.1444 0.4773
E288_200_Q_7_8 7 0.528 0.0569 0.5849
E288_200_Q_8_9 8 0.6105 0.0039 0.6145
E288_300_Q_4_5 4 0.5712 0.1672 0.7384
E288_300_Q_5_6 5 1.0774 0.0009 1.0783
E288_300_Q_6_7 6 0.596 0.0 0.5961
E288_300_Q_7_8 7 0.1257 0.0142 0.1399
E288_300_Q_8_9 8 0.3217 0.0484 0.3701
E288_400_Q_5_6 5 0.8685 0.2345 1.103
E288_400_Q_6_7 6 0.2158 0.2354 0.4512
E288_400_Q_7_8 7 0.0545 0.1651 0.2195
E288_400_Q_8_9 8 0.8189 0.071 0.8899
E288_400_Q_11_12 11 0.4278 0.0081 0.4358
E288_400_Q_12_13 12 0.4225 0.0185 0.441
E288_400_Q_13_14 12 0.589 0.0118 0.6008
STAR_510 7 1.0218 0.091 1.1128
CDF_RunI 25 0.4561 0.1157 0.5718
CDF_RunII 26 0.712 0.0026 0.7146
D0_RunI 12 0.5555 0.0048 0.5603
D0_RunII 5 1.1137 0.1824 1.2961
D0_RunIImu 3 4.1618 0.3745 4.5363
LHCb_7TeV 7 1.0844 0.4141 1.4984
LHCb_8TeV 7 0.4985 0.4511 0.9496
LHCb_13TeV 7 0.8621 0.084 0.9461
CMS_7TeV 4 3.05 0 3.05
CMS_8TeV 4 1.1929 0.0053 1.1982
ATLAS_7TeV_y_0_1 6 3.4663 0.6005 4.0668
ATLAS_7TeV_y_1_2 6 1.7382 0.1102 1.8485
ATLAS_7TeV_y_2_2.4 6 1.6373 0.1396 1.7769
ATLAS_8TeV_y_0_0.4 6 1.8327 0.165 1.9977
ATLAS_8TeV_y_0.4_0.8 6 1.7847 0.1639 1.9486
ATLAS_8TeV_y_0.8_1.2 6 0.624 0.0009 0.625
ATLAS_8TeV_y_1.2_1.6 6 0.6922 0.0106 0.7028
ATLAS_8TeV_y_1.6_2 6 1.171 0.0408 1.2118
ATLAS_8TeV_y_2_2.4 6 0.6674 0.0855 0.7529
ATLAS_8TeV_Q_46_66 4 1.1693 0.2492 1.4185
ATLAS_8TeV_Q_116_150 8 0.7933 0.084 0.8773
Total 319 - - 0.9652

Average-over-replicas \chi^2’s:

Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.4567 \pm 0.2986 0.2365 \pm 0.2848 0.6932 \pm 0.191
E605_Q_8_9 8 1.3088 \pm 0.3393 0.1978 \pm 0.2141 1.5066 \pm 0.3109
E605_Q_10.5_11.5 10 0.6653 \pm 0.3202 0.2215 \pm 0.2782 0.8868 \pm 0.1513
E288_200_Q_4_5 4 0.5634 \pm 1.6577 1.3585 \pm 1.4892 1.9219 \pm 0.6035
E288_200_Q_5_6 5 1.6557 \pm 0.8453 0.591 \pm 0.7852 2.2466 \pm 0.2487
E288_200_Q_6_7 6 0.3644 \pm 0.6526 0.5633 \pm 0.6338 0.9277 \pm 0.1542
E288_200_Q_7_8 7 0.5948 \pm 0.3856 0.2763 \pm 0.3564 0.8711 \pm 0.1252
E288_200_Q_8_9 8 0.5402 \pm 0.1389 0.1108 \pm 0.1352 0.651 \pm 0.0425
E288_300_Q_4_5 4 0.5962 \pm 0.6501 0.3672 \pm 0.5359 0.9635 \pm 0.3342
E288_300_Q_5_6 5 0.8638 \pm 0.3242 0.1896 \pm 0.2575 1.0534 \pm 0.1828
E288_300_Q_6_7 6 0.4667 \pm 0.2807 0.1503 \pm 0.2178 0.617 \pm 0.1646
E288_300_Q_7_8 7 0.0187 \pm 0.2534 0.1927 \pm 0.2374 0.2114 \pm 0.0694
E288_300_Q_8_9 8 0.3542 \pm 0.3112 0.2188 \pm 0.3076 0.573 \pm 0.0739
E288_400_Q_5_6 5 0.4049 \pm 0.3488 0.2576 \pm 0.3075 0.6626 \pm 0.1593
E288_400_Q_6_7 6 0.0975 \pm 0.2244 0.1979 \pm 0.2129 0.2954 \pm 0.0882
E288_400_Q_7_8 7 -0.0376 \pm 0.2371 0.1887 \pm 0.2302 0.151 \pm 0.0683
E288_400_Q_8_9 8 0.4816 \pm 0.1969 0.1329 \pm 0.1798 0.6145 \pm 0.0946
E288_400_Q_11_12 11 0.4138 \pm 0.188 0.1149 \pm 0.1637 0.5287 \pm 0.0864
E288_400_Q_12_13 12 0.4724 \pm 0.1625 0.1151 \pm 0.1455 0.5874 \pm 0.0696
E288_400_Q_13_14 12 0.6154 \pm 0.1094 0.0608 \pm 0.0793 0.6762 \pm 0.0655
STAR_510 7 1.1208 \pm 0.2381 0.1503 \pm 0.2193 1.2711 \pm 0.0961
CDF_RunI 25 0.4862 \pm 0.1362 0.1572 \pm 0.1338 0.6434 \pm 0.0197
CDF_RunII 26 0.7116 \pm 0.0827 0.0525 \pm 0.0668 0.7641 \pm 0.0519
D0_RunI 12 0.5046 \pm 0.0953 0.0665 \pm 0.0887 0.5711 \pm 0.0304
D0_RunII 5 0.7724 \pm 0.5424 0.4217 \pm 0.5215 1.194 \pm 0.1951
D0_RunIImu 3 3.5218 \pm 0.9145 0.8055 \pm 0.6553 4.3272 \pm 0.5973
LHCb_7TeV 7 0.9881 \pm 0.4896 0.5837 \pm 0.4834 1.5718 \pm 0.0568
LHCb_8TeV 7 0.4674 \pm 0.5374 0.5273 \pm 0.508 0.9947 \pm 0.1554
LHCb_13TeV 7 0.8601 \pm 0.2596 0.166 \pm 0.2556 1.0261 \pm 0.099
CMS_7TeV 4 2.8893 \pm 0.1278 0.0 \pm 0.0 2.8893 \pm 0.1278
CMS_8TeV 4 1.1036 \pm 0.1147 0.0697 \pm 0.0978 1.1734 \pm 0.0614
ATLAS_7TeV_y_0_1 6 3.0166 \pm 0.5612 0.4954 \pm 0.3277 3.512 \pm 0.4314
ATLAS_7TeV_y_1_2 6 1.9898 \pm 0.3105 0.2132 \pm 0.1873 2.2031 \pm 0.2402
ATLAS_7TeV_y_2_2.4 6 1.8735 \pm 0.2182 0.1937 \pm 0.1078 2.0673 \pm 0.1949
ATLAS_8TeV_y_0_0.4 6 1.6357 \pm 0.3136 0.1326 \pm 0.1498 1.7683 \pm 0.2708
ATLAS_8TeV_y_0.4_0.8 6 1.7013 \pm 0.2211 0.1413 \pm 0.1752 1.8426 \pm 0.1577
ATLAS_8TeV_y_0.8_1.2 6 0.6011 \pm 0.0917 0.0418 \pm 0.0634 0.6429 \pm 0.0671
ATLAS_8TeV_y_1.2_1.6 6 0.7428 \pm 0.1546 0.0831 \pm 0.101 0.8259 \pm 0.1238
ATLAS_8TeV_y_1.6_2 6 1.5167 \pm 0.4534 0.1713 \pm 0.1887 1.688 \pm 0.3995
ATLAS_8TeV_y_2_2.4 6 0.8097 \pm 0.4102 0.1313 \pm 0.1506 0.941 \pm 0.385
ATLAS_8TeV_Q_46_66 4 1.0623 \pm 0.5298 0.4723 \pm 0.4924 1.5346 \pm 0.1621
ATLAS_8TeV_Q_116_150 8 0.6653 \pm 0.2296 0.1558 \pm 0.2095 0.8211 \pm 0.0851
Total 319 - - 1.0351 \pm 0.0147

TMDs in k_T space

TMD PDF of the d at Q = 2 GeV and x = 0.001
TMD PDF of the d at Q = 2 GeV and x = 0.01
TMD PDF of the d at Q = 2 GeV and x = 0.1
TMD PDF of the d at Q = 2 GeV and x = 0.5
TMD PDF of the d at Q = 2 GeV and x = 0.9

Data-theory comparison

E605_Q_7_8 data-theory comparison
E605_Q_8_9 data-theory comparison
E605_Q_10.5_11.5 data-theory comparison
E288_200_Q_4_5 data-theory comparison
E288_200_Q_5_6 data-theory comparison
E288_200_Q_6_7 data-theory comparison
E288_200_Q_7_8 data-theory comparison
E288_200_Q_8_9 data-theory comparison
E288_300_Q_4_5 data-theory comparison
E288_300_Q_5_6 data-theory comparison
E288_300_Q_6_7 data-theory comparison
E288_300_Q_7_8 data-theory comparison
E288_300_Q_8_9 data-theory comparison
E288_400_Q_5_6 data-theory comparison
E288_400_Q_6_7 data-theory comparison
E288_400_Q_7_8 data-theory comparison
E288_400_Q_8_9 data-theory comparison
E288_400_Q_11_12 data-theory comparison
E288_400_Q_12_13 data-theory comparison
E288_400_Q_13_14 data-theory comparison
STAR_510 data-theory comparison
CDF_RunI data-theory comparison
CDF_RunII data-theory comparison
D0_RunI data-theory comparison
D0_RunII data-theory comparison
D0_RunIImu data-theory comparison
LHCb_7TeV data-theory comparison
LHCb_8TeV data-theory comparison
LHCb_13TeV data-theory comparison
CMS_7TeV data-theory comparison
CMS_8TeV data-theory comparison
ATLAS_7TeV_y_0_1 data-theory comparison
ATLAS_7TeV_y_1_2 data-theory comparison
ATLAS_7TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_y_0_0.4 data-theory comparison
ATLAS_8TeV_y_0.4_0.8 data-theory comparison
ATLAS_8TeV_y_0.8_1.2 data-theory comparison
ATLAS_8TeV_y_1.2_1.6 data-theory comparison
ATLAS_8TeV_y_1.6_2 data-theory comparison
ATLAS_8TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_Q_46_66 data-theory comparison
ATLAS_8TeV_Q_116_150 data-theory comparison